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Finding the Fourth Proportional to 16,736.63, 23,096.54 and 9,284.63

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Solution

The fourth proportional to 16,736.63, 23,096.54 and 9,284.63 is: 12,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736.63 : 23,096.54 = 9,284.63 : x
  2. Step 2: Convert to fraction form
    16,736.63/23,096.54 = 9,284.63/x
  3. Step 3: Cross multiply
    16,736.63x = 23,096.54 × 9,284.63
  4. Step 4: Simplify right side
    16,736.63x = 214,442,735.91
  5. Step 5: Solve for x
    x = 214,442,735.91/16,736.63
  6. Step 6: Final answer
    x = 12,812.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.